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Constraints on Hypothetical Interactions from the Casimir Effect

M. Bordag, G. L. Klimchitskaya, U. Mohideen, and V. M. Mostepanenko

in Advances in the Casimir Effect

Published in print:
2009
Published Online:
September 2009
ISBN:
9780199238743
eISBN:
9780191716461
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199238743.003.0024
Subject:
Physics, Condensed Matter Physics / Materials, Atomic, Laser, and Optical Physics

Many extensions to the Standard Model of elementary particles predict the existence of long-range interactions between neutral macrobodies in addition to Newtonian gravity. This chapter summarizes ... More


Dimensional Regularization, Minimal Subtraction: RG Functions

JEAN ZINN-JUSTIN

in Quantum Field Theory and Critical Phenomena

Published in print:
2002
Published Online:
January 2010
ISBN:
9780198509233
eISBN:
9780191708732
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198509233.003.0011
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter introduces the concept of renormalization by minimal subtraction, within the framework of dimensional regularization. It first discusses the structure of renormalization constants and ... More


Phase Transitions Near Two Dimensions

JEAN ZINN-JUSTIN

in Quantum Field Theory and Critical Phenomena

Published in print:
2002
Published Online:
January 2010
ISBN:
9780198509233
eISBN:
9780191708732
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198509233.003.0031
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter discusses the generic O(N) non-linear σ-model. One property which plays an essential role is the UV asymptotic freedom of the σ-model in two dimensions. Some of its properties are ... More


The Higgs boson: A major discovery and a problem

Jean Zinn-Justin

in From Random Walks to Random Matrices

Published in print:
2019
Published Online:
August 2019
ISBN:
9780198787754
eISBN:
9780191829840
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198787754.003.0012
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Chapter 12 describes the main steps in the construction of the electroweak component of the Standard Model of particle physics. The classical Abelian Landau–Ginzburg–Higgs mechanism is recalled, ... More


Propagators and fields

Tom Lancaster and Stephen J. Blundell

in Quantum Field Theory for the Gifted Amateur

Published in print:
2014
Published Online:
June 2014
ISBN:
9780199699322
eISBN:
9780191779435
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199699322.003.0018
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter connects Green’s functions to propagators in a quantum field picture and introduce the Feynman propagator, which involves time-ordering of operators. This is applied to Yukawa’s model of ... More


Scattering theory

Tom Lancaster and Stephen J. Blundell

in Quantum Field Theory for the Gifted Amateur

Published in print:
2014
Published Online:
June 2014
ISBN:
9780199699322
eISBN:
9780191779435
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199699322.003.0021
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

The ideas from the previous chapter are applied to scattering theory for a simple Yukawa model, which serves as a toy model of QED and the scattering cross-section is defined and then evaluated.


Zhuangzi: The Happy Fish

Hideki Yukawa

in Zhuangzi and the Happy Fish

Published in print:
2015
Published Online:
November 2016
ISBN:
9780824846831
eISBN:
9780824868185
Item type:
chapter
Publisher:
University of Hawai'i Press
DOI:
10.21313/hawaii/9780824846831.003.0001
Subject:
Society and Culture, Asian Studies

This introductory essay by is a happy reminiscence by distinguished Nobel Laureate, Hideki Yukawa, about how his early childhood reading of the Zhuangzi and other philosophical canons has been an ... More


Nuclear Physics

Nicholas Manton and Nicholas Mee

in The Physical World: An Inspirational Tour of Fundamental Physics

Published in print:
2017
Published Online:
July 2017
ISBN:
9780198795933
eISBN:
9780191837111
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198795933.003.0012
Subject:
Physics, Condensed Matter Physics / Materials

The chapter gives an overview of nuclear physics from the discovery of the neutron to ongoing research topics. General properties of atomic nuclei are considered: the valley of stability, the nuclear ... More


Epilogue

Michael E. Peskin

in Concepts of Elementary Particle Physics

Published in print:
2019
Published Online:
November 2019
ISBN:
9780198812180
eISBN:
9780191850301
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198812180.003.0022
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

This chapter briefly describes open problems in elementary particle physics that remain for the future.


Empirical Background and the Bases for the Investigation

Albert Rothenberg

in Flight from Wonder: An Investigation of Scientific Creativity

Published in print:
2014
Published Online:
November 2014
ISBN:
9780199988792
eISBN:
9780190214159
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199988792.003.0004
Subject:
Psychology, Cognitive Psychology

The empirical investigation into scientific creativity begins with several primary-source accounts of theoretical breakthroughs from great scientists of the past. Featured are Albert Einstein’s ... More


Free scalar field

Michael Kachelriess

in Quantum Fields: From the Hubble to the Planck Scale

Published in print:
2017
Published Online:
February 2018
ISBN:
9780198802877
eISBN:
9780191841330
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198802877.003.0003
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

In this chapter, the path integral approach is extended from quantum mechanics to the simplest field theory containing a single real scalar field. First the generating functionals of (dis-) connected ... More


One-loop divergences

Iosif L. Buchbinder and Ilya L. Shapiro

in Introduction to Quantum Field Theory with Applications to Quantum Gravity

Published in print:
2021
Published Online:
April 2021
ISBN:
9780198838319
eISBN:
9780191874666
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198838319.003.0014
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

This chapter focuses on one-loop calculations and related issues such as practical renormalization and the derivation of beta functions. The general result for the one-loop divergences from chapter ... More


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